Factor the following expression 8x^2+2x-158x2+2x−15

Answer:

Step-by-step explanation:

Assuming you're solving for p:

[tex]m=2^{-1} *2^p(2^p-1)[/tex]

Let [tex]y=2^p[/tex]

Now we can re-write the equation with [tex]y[/tex] instead of [tex]2^p[/tex].

[tex]m=\frac{1}{2} y(y-1)[/tex]

[tex]2m=y^2-y[/tex]

[tex]y^2-y-2m=0[/tex]

Use the quadratic formula to get:

[tex]y = \frac{1+\sqrt{1+8m} }{2}[/tex]

or

[tex]y = \frac{1-\sqrt{1+8m} }{2}[/tex]

Therefore, using natural log and log rules:

[tex]2^p = \frac{1+\sqrt{1+8m} }{2}[/tex], [tex]ln(2^p)= ln(\frac{1+\sqrt{1+8m} }{2})[/tex],[tex]pln(2) = ln(\frac{1+\sqrt{1+8m} }{2})[/tex], [tex]p = \frac{ln(\frac{1+\sqrt{1+8m} }{2})}{ln(2)}[/tex]

or

[tex]2^p = \frac{1-\sqrt{1+8m} }{2}[/tex], [tex]ln(2^p)= ln(\frac{1-\sqrt{1+8m} }{2})[/tex], [tex]pln(2) = ln(\frac{1-\sqrt{1+8m} }{2})[/tex], [tex]p = \frac{ln(\frac{1-\sqrt{1+8m} }{2})}{ln(2)}[/tex]

If I haven't made any mistakes this should be correct!

Answer:

I can't see the image but to help the formula is volume=LENGTH x Width x Height :)

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Percent means 'per 100'

So, 0.55% means 0.55 per 100 or simply 0.55/100

If you divide 0.55 by 100, you'll get 0.0055

Answer:

IT's a < b True /a/ =0 True /a/ < /b/ True

Step-by-step explanation:

Answer:

c is the answer

hope this helps

Answer:

C

Step-by-step explanation:

:)

Answer:

D. III, II, then I

Step-by-step explanation:

To find the space between the cylinder and the cone, the first thing to do is: find the volume of the cylinder => next is to find the volume of the cone => then look for the difference in volume between the cylinder and the cone which will give us the space between the cylinder and the cone.

The correct order would be:

III, II, then I

Answer:

We determined that the 10th figure will have 45 shaded squares. That means 100 – 45 = 55 squares will be unshaded

Step-by-step explanation:

hope this helps

Step-by-step explanation:

540 espero que que ayude UWU

Answer: A

Step-by-step explanation:

Answer:

D. 5 1/8

Step-by-step explanation:

First, convert the mixed number into an improper fraction

8-2 7/8 = 8- 23/8

Calculate the difference

8-23/8 = 41/8

Simplify the fraction

41/8 = 5 1/8

Answer:

H0 : μ = 2

H1 : μ > 2

We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.

Step-by-step explanation:

Given :

X = 23.71,17.79,29.87,18.78,28.76

Sample mean, xbar = Σx / n = 22/10 = 2.2

Standard deviation, s = 0.516 (calculator)

H0 : μ = 2

H1 : μ > 2

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

n = 10

Test statistic :

(2.2 - 2) ÷ (0.516/sqrt(10))

0.2 / 0.1631735

Test statistic = 1.23

Using the Pvalue from Tscore calculator, df = n - 1 = 10 - 1 = 9

Pvalue(1.23, 9) = 0.1249

Since, Pvalue > α ; We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.

Answer:

its 28

Step-by-step explanation:

C is the longest side which is 35 ye and b is 21 yd. Then you would subtract 21^2 from 35^2 and you would get 784. Then find the square root of 784 and you would get 28 as the answer! Good luck and have a great day or night!

Answer:

28 yards

Step-by-step explanation:

We can use pythagorean theorem to solve this problem; pythagorean theorem is denoted by the formula a^2 + b^2 = c^2. We already have b, as 21 yd and c, as the hypotenuse is 35 yd. We can plug these values into the formula:

a^2 + 21^2 = 35^2

a^2 + 441 = 1225

a^2 = 784

a = 28 yards

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

3:

h(x)=(-3x-15)/5

let y=(-3x-15)/5

interchanging role of x &y

x=(-3y-15)/5

5x+15=-3y

y=-(5x+15)/3

h-1(x)=-(5x+15)/3

not

equal to f(x)=(-3x-6)/4

Given function are not function of each other .

4:

g(x)=2/3x-2/3

let

y=2/3(x-1)

interchanging role of x &y

x=2/3(y-1)

3/2x+1=y

g-1(x)=3/2x+1

not equal to f(x)=½x+1

Given function are not function of each other .

Problem 1

--------------------

Explanation:

One way to see if we have an inverse pair or not is to compute these two composite functions

If both result in x, and just that, then we have shown that they are inverses of one another.

f(x) = (2x)/3

f(x) = (2/3)x

f(g(x)) = (2/3)*g(x)

f(g(x)) = (2/3)*(3/2)x

f(g(x)) = x

The steps to show that g(f(x)) = x are very similar

g(x) = (3/2)x

g(f(x)) = (3/2)*f(x)

g(f(x)) = (3/2)*(2/3)*x

g(f(x)) = x

So this verifies that you have the correct answer.

======================================================

Problem 2

--------------------

Explanation:

We'll use the same idea as problem 1

f(x) = 2 - (3/4)*x

f(g(x)) = 2 - (3/4)*( g(x) )

f(g(x)) = 2 - (3/4)*( (-4/3)x + 8/3 )

f(g(x)) = 2 - (3/4)*(-4/3)x  - (3/4)*(8/3)

f(g(x)) = 2 + x - 2

f(g(x)) = x

So far so good, but we need to check the other way around as well

g(x) = (-4/3)x + 8/3

g(f(x)) = (-4/3)*( f(x) ) + 8/3

g(f(x)) = (-4/3)*( 2 - (3/4)*x ) + 8/3

g(f(x)) = (-4/3)*(2) + (-4/3)*(-3/4)*x + 8/3

g(f(x)) = -8/3 + x + 8/3

g(f(x)) = x

This verifies that f(x) and g(x) are inverses of each other.

Problems 3 and 4 will have similar steps.

Answer:

340

Step-by-step explanation:

the kitten would be gray

Answer:

Ling's principal can hire new teachers in 54 different ways.

Step-by-step explanation:

Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:

6 x 3 x 3 = X

18 x 3 = X

54 = X

Therefore, Ling's principal can hire new teachers in 54 different ways.

Answer: it’s 959cm squared.

Step-by-step explanation:

The total surface area of the new box will be C) 959 square centimeters.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The surface area of this rectangular prism = 2( lb + bh + hl)

We are given that height of the box is 4 cm.

Also that height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included.

The surface area of this rectangular prism = 2( lb + bh + hl)

= 2(18 x 13.5 + 13.5x 7.5 +  18 x 7.5)

= 958.5

= 959 cm sq.

Therefore, the correct option is C.

Learn more about a rectangular prism;

https://brainly.com/question/21308574

#SPJ2

Answer:

A- impossible

B- unlikely

C- even chance

D- likely

E- certain

Step-by-step explanation:

A to E goes from 0 to 1 so I assume 0 means zero possibility (impossible) then to continue unlikely. now even chance at C (in the middle which makes sense) then likely and then 1 is certain  

Answer:i think A is impossible, B is unlikely, C is even chance, D is likely, and E is certain

Step-by-step explanation:

Answer:

D. May not be accurate, information was taken over 2 year period; More information from previous years would help the prediction be more accurate.

Step-by-step explanation:

I calculated it logically

Answer:

The integer that represents the situation is 5.

Step-by-step explanation:

When you gain 5 yards, that is considered a positive increase in value.

You can either put 5 or +5 because they indicate the same positive value.

Answer:

3/10

Step-by-step explanation:

From the question :

Let amount rytis get = x

Hence, amount Linda gets = 3x

Hence, amount Adam gets = 2 times what Linda gets = 2(3x) = 6x

Hence, total amount shared :

x + 3x + 6x = 10x

Amount Linda got = 3x

Therefore, fraction Linda gets = Amount gotten by Linda / total amount = 3x / 10x = 3/10

Hence, fraction gotten by Linda = 3/10

The fraction of the amount of money does Linda gets is 3/10 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the fraction of the amount of money does Linda get:

Step 1 - Let the total amount of money Rytis get be 'x'.

Step 2 - So according to the given data, the total money Linda has is 3x.

Step 3 - According to the given data, the total money Adam has is 2(3x).

Step 4 - So, the total amount of money shared is:

x + 3x + 6x = 10x

Step 5 - So, the fraction of the amount of money does Linda get is:

[tex]\rm =\dfrac{3x}{10x}[/tex]

[tex]= \dfrac{3}{10}[/tex]

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

3 pages

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

first, let's find out how much Lyle wrote on Friday.

(2/3)(9)=6

Lyle wrote 6 pages on Friday.

9-6=3

this makes sense, because since he wrote 2/3 of the report on Friday, there will be 1/3 of the report to do on Saturday. (1/3)(9)=3

LYLE WROTE 3 PAGES ON SATURDAY

hope this helped <33333333